Asynchronous Assignment: Feb.20 (Calculator Inactive)

Which expression is equivalent to -15x - 27?

• -3(12x - 27)

• -3(12x + 24)

• -3(5x - 9)

• -3(5x + 9)

Answer explanation

To find an equivalent expression, factor -3 from -15x - 27. This gives -3(5x + 9), which matches the correct choice. The other options do not simplify to -15x - 27.

A customer service representative earns $15 per hour plus a weekly bonus. The expression 15h + 60 represents the weekly amount the customer service representative earns working h hours. Which expression also represents the weekly amount the customer service representative earns working h hours?

• 15(h + 4)

• 15(h + 14)

• 15(h + 45)

• 15(h + 60)

Answer explanation

The expression 15(h + 4) simplifies to 15h + 60, matching the original expression. The other options do not yield the correct total when expanded.

What is the value of 4(−7.5) + 150 − 72.25?

• 192.25

• 107.75

• 74.25

• 47.75

Answer explanation

First, calculate 4(−7.5) = −30. Then, add 150 − 72.25 = 77.75. Finally, combine: −30 + 77.75 = 47.75. Thus, the correct answer is 47.75.

Which expression is equivalent to 3(2 - 3x) - 10x?

• 16x - 9

• x + 6

• -19x + 9

• -19x + 6

Answer explanation

To simplify 3(2 - 3x) - 10x, first distribute: 6 - 9x - 10x = 6 - 19x. Thus, the expression simplifies to -19x + 6, which matches the correct answer.

Consider the rectangle. Which pair of expressions represents the area of the rectangle?

• 14x + 10 and 2(12x) + 2(8)

• 20x and 8(12x)

• 24x + 16 and 2(12x) + 2(8)

• 96x and 8(12x)

Answer explanation

The area of a rectangle is calculated as length times width. The correct choice, 24x + 16 and 2(12x) + 2(8), represents the area as it simplifies to the same value, confirming both expressions are equivalent.

Which expression is equivalent to 3(8x - 21)?

• 8x - 63

• 24x - 63

• 24x - 21

• 38x - 21

Answer explanation

To simplify 3(8x - 21), distribute 3: 3 * 8x = 24x and 3 * -21 = -63. Thus, the expression becomes 24x - 63, which matches the correct answer choice.

What is the value of -18.73 + (-13.07)?

• -31.80

• -31.70

• -31.60

• -31.50

Answer explanation

To find the value of -18.73 + (-13.07), add the two negative numbers: -18.73 + -13.07 = -31.80. Therefore, the correct answer is -31.80.

What is the value of (-870 ÷ 5) · (-6)?

• -1044

• 1044

• -1050

• 1050

Answer explanation

First, calculate -870 ÷ 5 = -174. Then, multiply -174 by -6: -174 · -6 = 1044. Thus, the correct answer is 1044.

The decimal equivalent of -11/4 is:

• -2.75

• 2.75

• -2.25

• 2.25

Answer explanation

To convert -11/4 to decimal, divide -11 by 4, which equals -2.75. Thus, the correct answer is -2.75.

Consider the expression. 8(−4.8)−9.1(−15−35) What is the value of the expression?

• -416.6

• 41.66

• 416.6

• 4166

Answer explanation

To evaluate the expression, first calculate 8(-4.8) = -38.4. Then, simplify -9.1(-50) = 455. Adding these gives -38.4 + 455 = 416.6. Thus, the correct answer is 416.6.